Field-theoretical methods and nonextensive systems
نویسندگان
چکیده
منابع مشابه
Field - Theoretical Methods and Nonextensive Systems
The Boltzmann-Gibbs statistical mechanics and the standard thermodynamics are very useful in the discussion of extensive systems. However, they are not good to study situations where nonextensive e ects occur, for instance, systems involving long-range interactions (e. g., d = 3 gravitation)[1, 2], long-range microscopic memory[3], and systems with a relevant (multi)fractal-like structure. On t...
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In this paper, we propose a new discriminative model named nonextensive information theoretical machine (NITM) based on nonextensive generalization of Shannon information theory. In NITM, weight parameters are treated as random variables. Tsallis divergence is used to regularize the distribution of weight parameters and maximum unnormalized Tsallis entropy distribution is used to evaluate fitti...
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Nonextensive methods in turbulence and particle physics
We describe some recent applications of Tsallis statistics in fully developed hydrodynamic turbulence and in high energy physics. For many of these applications nonextensive properties arise from spatial fluctuations of the temperature or the energy dissipation rate. The entropic index q is related to the relative magnitude of these fluctuations. We concentrate on a recently derived formula for...
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The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical mechanics is discussed and then formally enlarged in order to hopefully cover a variety of anomalous systems. The generalization concerns nonextensive systems, where nonextensivity is understood in the thermody-namical sense. This generalization was first proposed in 1988 inspired by the probabilistic description ...
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ژورنال
عنوان ژورنال: Brazilian Journal of Physics
سال: 1999
ISSN: 0103-9733
DOI: 10.1590/s0103-97331999000100007